Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 15 - The Laws of Thermodynamics - Problems - Page 439: 27

Answer

$1.8\times10^3W$

Work Step by Step

The maximum efficiency (Carnot efficiency) is given by equation 15–5. Make sure to measure temperatures in kelvins. $$e_{ideal}=1-\frac{T_L}{T_H}=1-\frac{(45+273)K}{(210+273)K}=0.3416$$ Next, use the definition of the efficiency of a heat engine. $$e=\frac{W}{Q_H}=\frac{W}{W+Q_L}$$ $$Q_L=W(\frac{1}{e}-1)$$ $$\frac{ Q_L }{t} =\frac{W}{t}(\frac{1}{e}-1)$$ $$\frac{ Q_L }{t} =(910watts)(\frac{1}{0.3416}-1)$$ $$\frac{ Q_L }{t} =1754watts\approx1.8\times10^3W$$
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